| 半线性奇摄动边值问题的定性分析 |
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| 引用本文： | 张九超,林武忠.半线性奇摄动边值问题的定性分析[J].华东师范大学学报(自然科学版),1989(1):1-11. |
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| 作者姓名： | 张九超 林武忠 |
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| 作者单位： | 华东师范大学数学系，华东师范大学数学系 |
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| 摘 要： | 本文在相平面上对半线性奇摄动边值问题 s(d~2x)/(dt~2)=h(x),x(0)=A=A,x(1)=B,0<ε<<1的解的存在性和个数以及极限解进行了定性分析,并对时间进行了渐近估计,从而发展了1]和2]中的结果
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| 关 键 词： | 边值问题 奇摄动 轨线 渐近分析 |
Qualitative Analysis of BVP in the Singularly Perturbed Semilinear Equation |
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| ZHANG JIUCHAO LIN WUZHONG.Qualitative Analysis of BVP in the Singularly Perturbed Semilinear Equation[J].Journal of East China Normal University(Natural Science),1989(1):1-11. |
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| Authors: | ZHANG JIUCHAO LIN WUZHONG |
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| Institution: | Department of Mathematics |
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| Abstract: | The BVP in singularly perturbed semilinear equation is considered in this paper. The existence, number and limits of solutions for this problem are obtained by the qualitative methods. The time when the phase point passes along a piece of trajectory arc is evaluated asymptotically, thereforo the results in 1] and 2] have been developed. |
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| Keywords: | boundary value problem (BVP) singular perturbation trajectory asymptotic analysis |
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